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Finding the Fourth Proportional to 192.74, 265.49 and 137.38

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Solution

The fourth proportional to 192.74, 265.49 and 137.38 is: 189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 265.49 = 137.38 : x
  2. Step 2: Convert to fraction form
    192.74/265.49 = 137.38/x
  3. Step 3: Cross multiply
    192.74x = 265.49 × 137.38
  4. Step 4: Simplify right side
    192.74x = 36,471.67
  5. Step 5: Solve for x
    x = 36,471.67/192.74
  6. Step 6: Final answer
    x = 189.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.